Stable lattices in modular Galois representations and Hida deformation

被引：0
|
作者：
Yan, Dong
机构：
来源：
JOURNAL OF NUMBER THEORY | 2019年 / 197卷
关键词：
Galois representation; Hida theory; Bruhat-Tits tree; EXTENSIONS; FAMILIES;
D O I：
10.1016/j.jnt.2018.06.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss the variation of the numbers of the isomorphic classes of stable lattices when the weight and the level vary in a Hida deformation by using the Kubota-Leopoldt p-adic L-function. Then in Corollary 1.7, we give a sufficient condition for the numbers of the isomorphic classes of stable lattices in Hida deformation to be infinite. (C) 2018 Elsevier Inc. All rights reserved.
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页码：62 / 88
页数：27
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